Question

The value of 3.6999.... in the form p/q, where p and q are integers and q ≠0 , is

Answer 1

Answer:

HOPE THIS HELPS YOU AND YOU HAVE UNDERSTOOD THE CONCEPT.

Answer 2

$3.6999 \: can \: be \: written \: as \: 3.6 \bar{9}$

Now let

$x = 3.6 \bar{9} \: \: - - - - eq(1)$

Multiply by 10 on both sides

$10x = 36. \bar{9} \: \: - - - - eq(2)$

100 x = 369.99

Subtract Equation 1 and 2

$9x = 36.99 - 3.69$

$\implies90x = 333$

$\therefore \: x \approx \: \frac{333}{90} or \frac{111}{30}$

Hope it helps you

Please mark as brainliest